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40945000 = 235419431
BaseRepresentation
bin1001110000110…
…0010101101000
32212001012222111
42130030111220
540440220000
64021332104
71005012115
oct234142550
985035874
1040945000
1121126648
1211867034
138637a15
14561b90c
1538dbcba
hex270c568

40945000 has 80 divisors (see below), whose sum is σ = 101217600. Its totient is φ = 15480000.

The previous prime is 40944949. The next prime is 40945001. The reversal of 40945000 is 54904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40945001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94785 + ... + 95215.

It is an arithmetic number, because the mean of its divisors is an integer number (1265220).

Almost surely, 240945000 is an apocalyptic number.

40945000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50608800).

40945000 is an abundant number, since it is smaller than the sum of its proper divisors (60272600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40945000 is a wasteful number, since it uses less digits than its factorization.

40945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40945000 is about 6398.8280176920. The cubic root of 40945000 is about 344.6674664649.

Adding to 40945000 its reverse (54904), we get a palindrome (40999904).

The spelling of 40945000 in words is "forty million, nine hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 431 475 500 625 760 862 950 1000 1250 1724 1900 2155 2375 2500 3448 3800 4310 4750 5000 8189 8620 9500 10775 11875 16378 17240 19000 21550 23750 32756 40945 43100 47500 53875 65512 81890 86200 95000 107750 163780 204725 215500 269375 327560 409450 431000 538750 818900 1023625 1077500 1637800 2047250 2155000 4094500 5118125 8189000 10236250 20472500 40945000